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Finding the Fourth Proportional to 18,362.24, 25,339.68 and 9,978.56

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Solution

The fourth proportional to 18,362.24, 25,339.68 and 9,978.56 is: 13,770.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,362.24 : 25,339.68 = 9,978.56 : x
  2. Step 2: Convert to fraction form
    18,362.24/25,339.68 = 9,978.56/x
  3. Step 3: Cross multiply
    18,362.24x = 25,339.68 × 9,978.56
  4. Step 4: Simplify right side
    18,362.24x = 252,853,517.26
  5. Step 5: Solve for x
    x = 252,853,517.26/18,362.24
  6. Step 6: Final answer
    x = 13,770.30

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.